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Social Welfare Functions which preserve distances

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  • Fritz Grafe

    (Instituto de EconomÎa Pßblica y Departamento de Fundamentos del AnÂlisis EconÕmico, Facultad de Ciencias EconÕmicas y Empreasariales, Universidad del PaÎs Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain)

  • Julius Grafe

    (Instituto de EconomÎa Pßblica y Departamento de Fundamentos del AnÂlisis EconÕmico, Facultad de Ciencias EconÕmicas y Empreasariales, Universidad del PaÎs Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain)

Abstract

The notion of keeping distances, introduced by N. Baigent in [2], avoids the need to introduce topological concepts when defining Social Welfare Functions with requirements analogous to those established by Chichilnsky in [3]. In the following study we propose an extension of the results of Baigent, in a non topological framework, to a much broader class of metrics which enables the case of infinite agents to be considered in a natural fashion.

Suggested Citation

  • Fritz Grafe & Julius Grafe, 2001. "Social Welfare Functions which preserve distances," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 59-64.
    • Handle: RePEc:spr:sochwe:v:18:y:2001:i:1:p:59-64
    Note: Received: 14 June 1999/Accepted: 4 November 1999
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    Cited by:

    1. repec:ebl:ecbull:v:4:y:2004:i:6:p:1-6 is not listed on IDEAS
    2. Daniel Eckert, 2004. "Proximity Preservation in an Anonymous Framework," Economics Bulletin, AccessEcon, vol. 4(6), pages 1-6.
    3. Nick Baigent & Daniel Eckert, 2004. "Abstract Aggregations and Proximity Preservation: An Impossibility Result," Theory and Decision, Springer, vol. 56(4), pages 359-366, June.

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